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A Kinetic model with strong E$$times$$B flow

Miyato, Naoaki; Scott, B. D.*; Strintzi, D.*; Tokuda, Shinji

We derive a modified guiding-centre fundamental 1-form with strong E$$times$$B flow whose symplectic part does not include the flow term or time dependence. Since the symplectic part of the derived 1-form is the same as the standard one without the strong flow formally, it yields the standard Lagrange and Poisson brackets. Therefore the guiding-centre Hamilton equations keep their general form even when temporal evolution of the E$$times$$B flow is allowed. On the other hand, the guiding-centre Hamiltonian is more complicated than the conventional one. However it is possible to simplify the Hamiltonian in well localised transport barrier regions like the tokamak H-mode edge and internal transport barriers in reversed shear tokamaks. The guiding-centre Vlasov and Poisson equations are derived from the variational principle. The conserved energy of the system is obtained by the Noether's method.



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